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190977480456 = 233747173251557
BaseRepresentation
bin1011000111011100100…
…1010001011100001000
3200020221112211012110220
42301313021101130020
511112110213333311
6223422302110040
716540412541210
oct2616711213410
9606845735426
10190977480456
1173aa1899784
1231019b7b320
1315016cb5a09
149359ac7240
154e7b2ea206
hex2c77251708

190977480456 has 256 divisors, whose sum is σ = 563723919360. Its totient is φ = 52788864000.

The previous prime is 190977480451. The next prime is 190977480541. The reversal of 190977480456 is 654084779091.

It is a self number, because there is not a number n which added to its sum of digits gives 190977480456.

It is not an unprimeable number, because it can be changed into a prime (190977480451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 342867730 + ... + 342868286.

It is an arithmetic number, because the mean of its divisors is an integer number (2202046560).

Almost surely, 2190977480456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190977480456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281861959680).

190977480456 is an abundant number, since it is smaller than the sum of its proper divisors (372746438904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

190977480456 is a wasteful number, since it uses less digits than its factorization.

190977480456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 190977480456 in words is "one hundred ninety billion, nine hundred seventy-seven million, four hundred eighty thousand, four hundred fifty-six".